SOLUTION: Solve the rational equation 1/x-1 + 1/x+2=3/x^2+x-2

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Question 416406: Solve the rational equation
1/x-1 + 1/x+2=3/x^2+x-2
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Solving for x

1%2F%28x-1%29+%2B+1%2F%28x%2B2%29+=3%2F%28x%5E2%2Bx-2%29     |Multiplying thru with (x-1)(x+2)

    (x+2) + (x-1)  = 3

    x^2 + x - 2 = 0   |combining Like terms

factoring

 (x+2)(x-1)= 0 Note:SUM of the inner product(2x) and the outer product(-x) = x 

 (x+2)= 0    x = -2 Extraneous - cannot divide by zero

 (x-1)= 0    x = 1  Extraneous - cannot divide by zero

 NO solution